Matrix analysis of periodic interleaved multifrequency antenna arrays

The scattering matrix is constructed for periodic interleaved multifrequency antenna arrays with radiators of q different types within the overall antenna aperture, all radiators of each type excited at the same frequency f sub q. A plane doubly periodic antenna array is considered and on the basis of its finite-dimensional scattering matrix are derived expressions for total gain and surface utilization factor. Calculations by conventional methods of electrodynamics are made for an antenna arrays which operates in the transmitting mode or in the receiving mode, with power rereflection in the latter case, with the radiation field at each frequency represented as a finite Floquet spectrum containing TE-mode and TM-mode plane harmonics. The results of this analysis are used for optimizing the excitation pattern so as to suppress additional side lobes in the antenna radiation pattern at high frequencies, while only plane interference side lobes appear at low frequencies and these can be suppressed by reducing the mismatch between radiators.